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100320312030 = 2356788756269
BaseRepresentation
bin101110101101110001…
…1100111101011011110
3100120221111100212202020
41131123203213223132
53120423444441110
6114030404241010
710151013403551
oct1353343475336
9316844325666
10100320312030
1139600223294
12175390a0166
1395c9c9c9a3
144bd9800698
15292240bd70
hex175b8e7ade

100320312030 has 64 divisors (see below), whose sum is σ = 244642152960. Its totient is φ = 26322620544.

The previous prime is 100320311951. The next prime is 100320312067. The reversal of 100320312030 is 30213023001.

100320312030 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1754736 + ... + 1811004.

It is an arithmetic number, because the mean of its divisors is an integer number (3822533640).

Almost surely, 2100320312030 is an apocalyptic number.

100320312030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100320312030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122321076480).

100320312030 is an abundant number, since it is smaller than the sum of its proper divisors (144321840930).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100320312030 is a wasteful number, since it uses less digits than its factorization.

100320312030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57233.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 100320312030 its reverse (30213023001), we get a palindrome (130533335031).

The spelling of 100320312030 in words is "one hundred billion, three hundred twenty million, three hundred twelve thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 67 134 201 335 402 670 887 1005 1774 2010 2661 4435 5322 8870 13305 26610 56269 59429 112538 118858 168807 178287 281345 297145 337614 356574 562690 594290 844035 891435 1688070 1782870 3770023 7540046 11310069 18850115 22620138 37700230 49910603 56550345 99821206 113100690 149731809 249553015 299463618 499106030 748659045 1497318090 3344010401 6688020802 10032031203 16720052005 20064062406 33440104010 50160156015 100320312030